Variational and microstructure-independent relations for piezoelectric composites

Qi-Chang He (1)

1 LaM - Laboratoire de Mécanique

The Hill-Mandel lemma is first extended to piezoelectricity. It is then shown that, when the macroscopic variable couple is fixed and when the local piezoelectric tensor field is subjected to a variation, the variation of the macroscopic energy is equal to the volume average of the variations of the microscopic energy. This variational relation is finally used to derive microstructure-independent relations.

Qi-Chang He. Variational and microstructure-independent relations for piezoelectric composites. JOURNAL OF MATERIALS SCIENCE & TECHNOLOGY, 2004, 20 (?), pp.69--72. ⟨hal-00694246⟩